You're adjusting to some major life changes, like a new baby. Maybe you can use this time to just relax, veg out, and process all of these events. Enjoy the Xbox. Take a break. Life will probably get busy again real soon.
I hesitate to mention this, but I hope your wife and baby aren't gone too, too, long. Sounds like you could use some bonding time with your new son. But I think that it is completely natural for men to feel ambivalence towards a new baby, esp the first. (Don't know if this is your first, just got that impression).
By the way, in my experience Prozac is a great antidepressant. It is one of the only ones that ever had a dramatic effect on my mood. I took it in the early 90s and it worked really well for about 4-5yrs and then conked out. And there are other good meds out today, if this happens to you.
I was just about to quit taking the Prozac when it kicked in. I think I had been taking it for 2-3 months with no effect; then suddenly one day my mood lifted and I felt good for the first time in -- well, really, for the first time in my life.
For whatever it's worth to you, I think that the Prozac and the downtime for you could not have happened at a better time. Relax, adjust, reboot!
But keep in touch with your wife and don't let too much time go by without contact with your baby!

Mike